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bittu

asked 2016-09-10 06:28:55

Two cars start from the same point at the same time. The first car travels at a constant speed of $12$ km/hr while second car travels at an initial speed of $6$ km/hr, which increases by $1$ km/hr every hour. What will be the distance travelled by the second car by the time it meets the first car

jiju

answered 2016-09-21 07:57:01

Ans: $156$ km

In first $6$ hours, first car travels $6+5+4+3+2+1$ km more than the second car.

In $7\text{th}$ hour, both cars travel same distance.

In next $6$ hours, second car travels $1+2+3+4+5+6$ km more than first car and both cars meet.

Therefore, total travelling time is $13$ hours. In this time, each car travels $13×12=156$ km.

In first $6$ hours, first car travels $6+5+4+3+2+1$ km more than the second car.

In $7\text{th}$ hour, both cars travel same distance.

In next $6$ hours, second car travels $1+2+3+4+5+6$ km more than first car and both cars meet.

Therefore, total travelling time is $13$ hours. In this time, each car travels $13×12=156$ km.

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