Latest Others Aptitude Question SOLUTION: Rahim plans to drive from city A to station C, at the speed of 70 km per hour, to catch a train arriving there from B. He must reach C at least 15 minutes before the arrival of the

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(#M40003444) OTHERS question catch a train Keep an EYE

Rahim plans to drive from city A to station C, at the speed of 70 km per hour, to catch a train arriving there from B. He must reach C at least 15 minutes before the arrival of the train. The train leaves B, located 500 km south of A, at 8:00 am and travels at a speed of 50 km per hour. It is known that C is located between west and northwest of B, with BC at 60° to AB. Also, C is located between south and southwest of A with AC at 30° to AB. The latest time by which Rahim must leave A and still catch the train is closest to

6:15 am
6:30 am
6:45 am
7:00 am
7:15 am

Asked In Others Dr. Divya (12 years ago)

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Dr.Dipin Singh  (12 years ago)

Cities A,B,C are lying on a triangle ABC
in which
angle A=30 B=60,c=90
AC =250 sq rt 3 = 433 kms, AB=500, BC = 259 km
time taken by train from B to C = 250/50 = 5 hrs
Rahim should reach before 8:00+5hrs-15min=12:45 pm
Time taken by Rahim to travel = 433/70 = 6.18 hrs = 6 hrs 11 mins
thus should leave b4 12:45-6:11=6:34
hence He must leave by 6:30 AM....... option B

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Arneet  (12 years ago)

The latest time by which Rahim must leave A and still catch the train is closest to 6:30 am.

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