Distance between the two places a and b is 350 kilometre two cars started simultaneously from a and b towards each other and the distance between them after 4 hours is 62 km. if the speed of one car is 8km/h less than the speed of the other car, find the speed of each car
Answers
Answer:
The speeds of the cars are 40 km/h and 32 km/h.
Explanation:
Your explanation is in the attachment.
Given :- Distance b/w the two places a and b is 350 kilometre . Two cars started from a and b towards each other , the distance b/w them after 4 hours is 62 km. If the speed of one car is 8km/h less than the speed of the other car, find the speed of each car .
To find :- The speed of each car .
Solution :-
If , distance b/w the two places a and b → 350 km
Let , the speed of a → x km/h
Then , the speed of b → ( x - 8 ) km/h
They travelled for 4 hours ,
The distance covered by both of them
in 4 hours =
By a → 4 × x = 4x
By b → 4 × ( x - 8 ) = 4x - 32
Now , the distance left to complete → 62 km
ATQ ,
⇒ 4x + 4x - 32 + 62 = 350 km
⇒ 8x + 30 = 350 km
⇒ 8x = 320 km
⇒ x = 40 km
If , x = 40 km
x - 8 = 40 - 8 = 32 km
Hence , a moves with speed 40 km/h while b moves with speed 32 km/h
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