two cars are moving in the same direction with a speed of 30km/h. they are separateed from each other by 5km. third car moving in the opposite direction meets the two cars after an interval of 4minutes. the speed of the third car is
Answers
Answer:
45km/hr
Explanation:
A->__5km__B->________________<-C
Lets say the two cars moving in same direction are A and B and the one moving in opposite direction is C. Let us also assume that B is moving ahead of the A. Hence, car C would meet car B first. As per the question, car C meets car A, in 4 minutes after it met car B.
From this point forget about car B.
A->__5km__<-C
After car C meets car B, the distance between car A and C becomes 5km.
Since, both of them travel towards each other, they would travel a distance of 5km in 4 minutes until they meet.
Then, distance travelled by car A = speed×time
=30km/hr×4Min
= 30km/hr×(4/60 hr)
= 2km
Since, car A travels 2 km, car C must have travelled 3km (5-2) in 4 minutes.
Therefore, speed of car C= distance/time
= 3km/4min
= 3km/(4/60hr)
= 45 km/hr
Hence, the third car travels at a speed of 45 km/hr.