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Q #6
⏰ :

Directions: Read the following information to answer the question.

Train A leaves station X for station Z at 0800 hrs and travels at a constant speed of 36 kmph. Train B leaves station Z for station X at 0830 hrs and runs at a constant speed of 27 kmph. Both trains have a stop at station Y but train A stops for 10 minutes while train B stops for 15 min. If the distance between the stations X and Y is 300 km and that between Y and Z is 405 km, where do the two trains meet?

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Q #7
⏰ :

Directions: Read the following information to answer the question.

Akash regularly makes a round trip up and down a river to meet his friend Rashmi. Today, his speed downstream is half his usual downstream speed while his speed upstream is double his usual upstream speed. If his usual speed in still water is 12 kmph and the usual stream speed is 8 kmph, how many hours (approximately) is he going to spend on today’s round trip of 40 km?

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The new downstream speed = (12 + 8)/2 = 10 kmph

    New upstream speed = (12) – 8) x 2 = 8 kmph

    Total time taken 20/10 + 20/8

    = 2 + 5/2 = 4½.

Q #8
⏰ :

Directions: Read the following information to answer the question.

The road connecting Oota and Mangalore goes only uphill or downhill i.e., there is no stretch of road that is level. Ashish’s car can do a constant 45 kmph uphill and 90 kmph downhill. Find the distance between Ooty and Mangalore, if it takes exactly 8 hours for Ashish to make a round trip.

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Q #9
⏰ :

Directions: Read the following information to answer the question.

The distance from A to B is 60 km. Partha and Narayan start from A at the same time and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is

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Q #10
⏰ :

Directions: Read the following information to answer the question.

A thief, after committing a burglary, started fleeing at 12:00 noon, at a speed of 60 kmph. He was then chased by a policeman X. X started the chase 15 minutes after the thief had started, at a speed of 65 kmph. At what time did X catch the thief?

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As X started chasing the thief after 15 minutes, the thief had gained (15/60)60 = 15 km over X. the relative speed between the thief and X is 65 - 60 = 5 kmph. So, the time taken by X to catch the thief is 15/5 = 3 hours. As X had started the chase at 12.15 p.m. he caught the thief at 3.15 p.m.