Question
An ice cream store can make 280 quarts of ice cream in 7 hours. ____________ quarts of ice cream can be made in 48 hours.
- 1200
- 1500
- 1780
- 1920
Hint:
In the question , we are given about no of quarts of ice-cream an ice-cream store can make in 7 hours. It is 280. We have to find out how many quarts of ice-cream, the store can make in 48 hours. From the first data we can find out the rate at which the store is making the quarts, by taking the ratio. Using this value we can find the required quantity.
The correct answer is: 1920
The ice-cream store can make 280 quarts in 7 hours.
We have to find the rate at which the ice-cream store is making the quarts. We will find it by taking the ratio of number of quarts and time required to make it. As the rate will be constant, we will use this value to find the number of quarts made in 48 hours.
So the equation becomes
![R a t e space equals fraction numerator N o space o f space q u a r t s over denominator T i m e end fraction space
space space space space space space space space space equals space fraction numerator 280 over denominator 7 space m i n end fraction
space space space space space space space space space equals 40 space p e r space m i n u t e](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKcAAABuCAYAAABC8QOQAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAA1lpdWvQAACY5JREFUeNrtnX9kl1scx4+vzEwimZlJTK7sj4wkkySSTGZGkuuajPRHJolkJrkiyTWZS5IkE3PNdU0ik2SukUwyM3IlyUSSZCZ2z6d9Hp199jnPOc/32fb99n3eL84fz/n9Pc/ne35/no8xoBopWdeEZgCfrOv1hH1lQdlIjlr3kd0r6zbhFRWTndbNWPfME/Zyg+tDgvjOunZ+bvvJ2nISIrV2dFs3Yt09635Rwh5scH16KlDmWtZ9BCK1dly27qJ1h6y76glzabTujnVfrFtgoa6PLCsmrVZmGputu8lTE8rzL+uGRR6+PKU/TV+uWDdv3aJ109bt8KQ5Y91zLvMi+y85TpY3YN0b6755woHCKPeQRhmS3DBiKw/zp/hFbuFe7npEOTFpx8QLPhmxaHoi8kyEpDvld/j8x1nQt3J+WrpRnnbcsK41kJ8rmLetq4O4ZWPOuhanVzjshM06YYYF6bxI38p5hIhNS2Vuj6z7oKcHmhP1ls+a/0kWLhfq2TuVND2e+swqPW3ypz8MUcu+XfPVed7BL0QLo+cPyjBcz0NqqJyYtLLMEG95WE/7Tb48pT/1wB0izlMhbGn1Sws7bt0L67ogcvHs45fi8phfuAzb41nRa3lIYtPG5JXQzsJTbp7SX26ZlXhuHPtb93nqk9DMbfBE+UMBBRrK7go/2u88rYR1KcMecU5ZSEli02r1SVsZ34/4Tb48e4X/BxG+n3s7E1m/k86o46Oe592/QfTC0OS/T/jRpH2Cw047/rQx/lAZymiPdFegnNi0sszQFpgm8PdFHkPW9Ys4e617L377OzHtGOSVf6i93HLORtSbdit+heiFGVMm/IZXli9FWLI5foyfWzj9QEQ5sWl99dFoYOFud6YO41xOp9j6ucd/hkZ+HlbK+t26WxyP5pkjyh8qrX7DLHhp7OU6b8vz0hZ4O4J+6BRXsrEGhfOj0fco9/Pvl2EHuHEXeWV6KkNZMWl99fHRxAJD7+tfs7xXK/OgbaFHXO5T5w+ilTXAvfEgh82LraG0+rWxvCyJLaNP7PeN55u78rwwOoKaFn5XTdxenswHR1nxNPJQm4e6iJ2DrHWqKpLjPJcTGSbq7oQdR1lxDHFvei1nPp3ck9YsNCe5IPyu8MrSncynHXOFjrKaeLJNwxEdaR0suHDuMf6N7Sz08qKlZhk1KzdLt/C/2r1bGHvMpR1lbeHFRpczV3mVoX5LEQ7UKHQ81cwrTNoCob2u40547DGX7yiL5q6XhN+4wbkrCFAyP26NJO6AiJPnmKvEE/ZG4ffZbMyF3iW4qnVB5PFUh7JKjz3m8h2taRWbXGMBAzWIdjz1WPSKscdc2lGW7xgPgCDa8VmHELSYYy7fURblNYVmBuXgO56aMD90WWKOudKOsmZ4W6rEq/1LyrwWgFX4jqc6hACGjrl8R1kEXbB9xgsvEtQ+NDtYTxrRBJl2RBYDC7pFseishHoyAN81PqdTwiuhngzAd3AHAVQtdEfhQkq4VN9Nnuk4+SbP9987C1laZP7B64fPZvVpHO41gGhIUNIUv+QdhVEWUNIZp/1kOmamXZP/zPKxMx1+nGD/7SyEyb2IvPcaQMF4zULlQ1PzneAe0oV2R257/JP8ca8BREO925fAyl5T823wxGtISV/pew3gJ4P2j9NUgctV89X81+JeAygQIVXgWDXfGH/cawCZSFO11cJ9qsMx/rjXADIRUgWW4b74sf641wCiCakCy3Bf/Fh/3GsAAAAAAAAAAAAAAAAAAAAAAAAAQGGg70CRjg/dFk8+kuuzBEG30OmKWmLXkr7DrllNIz2eP83y9TVyt9gPgEyQshhd2E2MOpFC2KTRbVLS53fo2/mkekE6OdeMfn+S9H9chbZj7AdAbkjTUfvIwYJ4Tr7s4XLc6J/FHjJhI6wARLGg+H0xK83mkXC+FXFoinBESXvIrP5SHwCZ6TC6Uhj1iP0i3g0R56PR1XDJbx5NC/JQz/PI/UrYbh7GE2NU9BUOqQLxLSXvRTQvKBfSufnbMywn3yltdnpGMt/ymoU2RjgX0MSgHFpZMHd6wseEELpzSVeffN4zrNdjWAflQLYa6TMvDWX2egtiQXRUiXMECyKQFfoAFn2IYFMg3oynV20zK+1Z9rCgS+jDB9hKApkYN3FWbntYQGkYL7E7xHPOMyIuDfPnzI/N+gGjm8UBIJUsto5og/0Fr7oXWOC6PQurOxyHPrJFx5eb0dQAAAAAAFU994O9SwAAqIZe+Kc3/wwwrAMAAAAAAABAzS601huYqgaZoUsct9e5DJiqBpmhO5xkcaIeTQGqjX+sa4+Il9e0tGaq+gLnd5eHfErbj1cCCLoYPBgZN49p6SS9NFXdz4J5kOeiLZyuAa+m2JBgTZmwSkZCHtPSSXppqlozEUi95za8nmJDPd2hyLh5TEv7njXT1ptEPFDQ1fnDDPHzmJaOeU4ImbwGNQ71WrORi6CEPKalY55D/qAgdJvs2o95TEsnz30pzyF/UBAeWHcqY5q8pqXzmqoGBWFeWVmHyGtaOq+pagAAAAAAAAAAAAAAAAAAAAAAAACAwkEWen366EU1NQ3d+SqAjALMpAhnEU1Nr7fuPOU/CdELQz1hn/FbwoCp6bWHTOCMoBnS2e/0gppw5jE1TerBZEvoilnWWydVXtL7aVbiNnF+FOeNWVYBlnmRLjupKD/neBcDZVdCd/6yp16u/2Wz8tM+FzO2xU9Dno/H1vHQtSNFOPOYmiZ989fc+Ft5/kYC8UCZ0750pg5k3e2VkhepEJMp7NaIdqmU7rxMl5Zft2d+H2qLQnDNurNC0CV5TE3PcePKxv8s/K4rPde4+FPM8VAYS6V052U6n/+s0ylkbYuaZ7cyIc8qnGlGV6X+eUK9EE6K98m6RuH32Vkp+/IKlb3RuvO+epYyxAu1RSGG9Smz2mCqFrdcU9Np+uYTIp5W58mIvLKWvd6681nyf+qJF2qLQhAr0OWamvbplZ83K7+51MXzL1NGXlnjr7fuvC9erxLvnhIvpi0Ky5Jny6McU9O0Qj7lWYA1i95nKlCvrDrqldKdH1JW73t5l0DGO+vpiacghvHCaUx5pqbHeBFwmJ9b2E/Tg5/h/Eu8UKEFwQGRVxYd9Urpzl/mHrHE80Z6Hlbikd8dT91DbQHhFJRjavojb5XM8aJq2rN1Ynhr6BnHm1F6qaw66pXSnad2esS7GPTnPeaJ18a7A0vKfD7UFiAndfxCAKg6OnkoA6Dq6DX6eTxYQ/4HCm3Xk1ttjQAAAAOvdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPlI8L21pPjxtaT5hPC9taT48bWk+dDwvbWk+PG1pPmU8L21pPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1pPk48L21pPjxtaT5vPC9taT48bW8+JiN4QTA7PC9tbz48bWk+bzwvbWk+PG1pPmY8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5xPC9taT48bWk+dTwvbWk+PG1pPmE8L21pPjxtaT5yPC9taT48bWk+dDwvbWk+PG1pPnM8L21pPjwvbXJvdz48bXJvdz48bWk+VDwvbWk+PG1pPmk8L21pPjxtaT5tPC9taT48bWk+ZTwvbWk+PC9tcm93PjwvbWZyYWM+PG1vPiYjeEEwOzwvbW8+PG1zcGFjZSBsaW5lYnJlYWs9Im5ld2xpbmUiLz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+JiN4QTA7PC9tbz48bW8+PTwvbW8+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtbj4yODA8L21uPjxtcm93Pjxtbj43PC9tbj48bW8+JiN4QTA7PC9tbz48bWk+bTwvbWk+PG1pPmk8L21pPjxtaT5uPC9taT48L21yb3c+PC9tZnJhYz48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz4mI3hBMDs8L21vPjxtbz49PC9tbz48bW4+NDA8L21uPjxtbz4mI3hBMDs8L21vPjxtaT5wPC9taT48bWk+ZTwvbWk+PG1pPnI8L21pPjxtbz4mI3hBMDs8L21vPjxtaT5tPC9taT48bWk+aTwvbWk+PG1pPm48L21pPjxtaT51PC9taT48bWk+dDwvbWk+PG1pPmU8L21pPjwvbWF0aD7K5HinAAAAAElFTkSuQmCC)
So the rate = 40 quarts per hour
Let’s find the number of quarts in 48 hours
![R a t e space equals fraction numerator N u m b e r space o f space q u a r t s over denominator T i m e end fraction](data:image/png;base64,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)
We will rearrange this equation for no of quarts, as we have to find number of quarts
For this we will multiply both sides by Time
Time × Rate = Number of quarts
Number of quarts = Time × Rate
Substituting the values we have found
Number of quarts = 48 × 40
Number of quarts = 1920
Therefore, number of quarts the ice-cream store can make in 48 hours is 1920.
We should be careful about the units. Before operation we should make sure same quantities have same unit.
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. For what minimum value of amplitude, will the mass loose contact with the plate? (Take g=10
)
![](data:image/png;base64,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)
As shown in figure, a spring attached to the ground vertically has a horizontal massless plate with a
mass in it. When the spring ( massless) is pressed slightly and released, the 2 kg mass, starts executing S.H.M. The force constant of the spring is
. For what minimum value of amplitude, will the mass loose contact with the plate? (Take g=10
)
![](data:image/png;base64,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)
A plane mirror is placed at the bottom of a tank containing a liquid of refractive index n. P is a small object at a height h above the mirror. An observer O, vertically above P, outside the liquid sees P and its image in the mirror. The apparent distance betwecn these two wall be
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)
A plane mirror is placed at the bottom of a tank containing a liquid of refractive index n. P is a small object at a height h above the mirror. An observer O, vertically above P, outside the liquid sees P and its image in the mirror. The apparent distance betwecn these two wall be
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)
The energy dissipated in a damped oscillation
The energy dissipated in a damped oscillation
If the time period of undamped oscillation is T and that of damped oscillatin is T, then what is the relation between I&.
If the time period of undamped oscillation is T and that of damped oscillatin is T, then what is the relation between I&.