Question

At what distance from Delhi will a train which leaves Delhi for Amritsar at 2:45 p.m. and goes at a rate of50 km an hour meet a train which leavesAmritsar for delhi at 1:35 p.m. and goes at the rate of 60 km per hour the distance between the two towns being 510 km.​

Answer 1

Answer:

A Train leaves for Amritsar at 2:45 pm and goes at the rate of 50 km/hr.

Another train leaves Amritsar for Delhi at 1:35 pm and goes at the rate of 60 km/hr.

The distance between Delhi and Amritsar is 510 km.

ASSUMPTION :

Let the two trains meet at a distance of X km from Delhi. Then, their meeting time.

2.45 pm + X/50 = 1.35 pm + (510 - X)/60

CALCULATION :

⇒ 2.45 pm - 1.35 pm + X/50 + X/60 = 510/60

⇒ 7/6 hrs + X [110/(50 × 60)] = 17/2

⇒ 7/6 + 11/300X = 17/2

⇒ 11/300X = 17/2 - 7/6

⇒ X = 200 km

Step-by-step explanation:

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Answer 2

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