Mathematics
Grade-8
Easy

Question

The speed of the cycle is 25 km in 2 hours. The speed of the bike is 150 km in 3 hours. The speed of the car is 210 km in 3 hours. The vehicle with the highest speed is

  1. Cycle
  2. Car
  3. Bike
  4. Both car and bike

hintHint:

Use the formula of the speed to calculate the correct answer.

The correct answer is: Car


    G i v e n comma
D i s tan c e space c o v e r e d space b y space t h e space c y c l e space equals space d subscript 1 space equals 25 space k m
T i m e space t a k e n space t o space t r a v e l space t h e space d i s tan c e space d subscript 1 space equals space t subscript 1 space equals space 2 space h o u r s

D i s tan c e space c o v e r e d space b y space t h e space b i k e space equals space d subscript 2 space equals 150 space k m
T i m e space t a k e n space t o space t r a v e l space t h e space d i s tan c e space d subscript 2 space equals space t subscript 2 space equals space 3 space h o u r s

D i s tan c e space c o v e r e d space b y space t h e space c y c l e space equals space d subscript 3 space equals 50 space k m
T i m e space t a k e n space t o space t r a v e l space t h e space d i s tan c e space d subscript 3 space equals space t subscript 3 space equals space 3 space h o u r s

T o space d e t e r m i n e space t h e space v e h i c l e space w i t h space t h e space h i g h e s t space s p e e d space a m o n g space t h e space f o l l o w i n g comma space w e space n e e d space t o space f i n d space t h e space s p e e d s space o f space t h e space i n d i v i d u a l space v e h i c l e s.

S p e e d space o f space t h e space c y c l e space equals space open parentheses d subscript 1 over t subscript 1 close parentheses space equals space open parentheses 25 over 2 close parentheses space equals space 12.5 space k m divided by h r
S p e e d space o f space t h e space b i k e space equals space open parentheses d subscript 2 over t subscript 2 close parentheses space equals space open parentheses 150 over 3 close parentheses space equals space 50 space k m divided by h r
S p e e d space o f space t h e space c a r space equals space open parentheses d subscript 3 over t subscript 3 close parentheses space equals space open parentheses 210 over 3 close parentheses space equals space 70 space k m divided by h r

T h e r e f o r e comma space t h e space v e h i c l e space w i t h space t h e space h i g h e s t space s p e e d space i s space t h e space c a r.

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