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Q #6

⏰ 00:00

CAT Time Speed and Distance: Meeting point

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Two friends A and B leave City P and City Q simultaneously and travel towards Q and P at constant speeds. They meet at a point in between the two cities and then proceed to their respective destinations in 54 minutes and 24 minutes respectively. How long did B take to cover the entire journey between City Q and City P?

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That's Wrong

That's right
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Solution

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Q #7

⏰ 00:00

CAT Races: Race in a pool

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A swimming pool is of length 50 m. A and B enter a 300 m race starting simultaneously at one end of the pool at speeds of 3 m/s and 5 m/s. How many times will they meet while travelling in opposite directions before B completes the race?

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Thrice

That's right

Twice

That's Wrong

Once

That's Wrong

5 Times

That's Wrong
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Solution

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Q #8

⏰ 00:00

CAT Time Speed and Distance: Relative Speed

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Car A trails car B by 50 meters. Car B travels at 45km/hr. Car C travels from the opposite direction at 54km/hr. Car C is at a distance of 220 meters from Car B. If car A decides to overtake Car B before cars B and C cross each other, what is the minimum speed at which car A must travel?

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18 km/hr

That's Wrong

67.5 km/hr

That's right

45 km/hr

That's Wrong

36 km/hr

That's Wrong
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Solution

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Q #9

⏰ 00:00

CAT Races: Circular Races

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A and B stand at distinct points of a circular race track of length 120m. They run at speeds of a m/s and b m/s respectively. They meet for the first time 16 seconds after they start the race and for the second time 40 seconds from the time they start the race. Now, if B had started in the opposite direction to the one he had originally started, they would have meet for the first time after 40 seconds. If B is quicker than A, find B�s speed.

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3 m/s

That's right

8 m/s

That's Wrong

4 m/s

That's Wrong

5 m/s

That's Wrong
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Solution

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Q #10

⏰ 00:00

CAT Time Speed and Distance: Boats and Streams

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City A to City B is a downstream journey on a stream which flows at a speed of 5km/hr. Boats P and Q run a shuttle service between the two cities that are 300 kms apart. Boat P, which starts from City A has a still-water speed of 25km/hr, while boat Q, which starts from city B at the same time has a still-water speed of 15km/hr. When will the two boats meet for the first time? (this part is easy) When and where will they meet for the second time?

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7.5 hours and 15 hours

That's Wrong

8 hours and 18 hours

That's Wrong

7.5 hours and 20 hours

That's right

7.5 hours and 18 hours

That's Wrong
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Solution

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