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TSD - 3 Average speed || Quantitative Aptitude || CAT 2021 || 24 April

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Question 1

Direction: Two street racers A and B drive their cars at an average speed of 160 km/hr and 180 km/hr respectively. Then answer the following:
If for the first half distance, they drive at 3/4th of their average speeds. Then the ratio of their speeds (Speed of A : Speed of B) in the other remaining half will be -

Question 2

Direction: Two street racers A and B drive their cars at an average speed of 160 km/hr and 180 km/hr respectively. Then answer the following:
For a constant average speed (given) throughout the racing distance, what more percent of the total racing distance can B cover by the time A finishes the race?

Question 3

Direction: Two street racers A and B drive their cars at an average speed of 160 km/hr and 180 km/hr respectively. Then answer the following:
If the original racing distance is doubled, A and B can increase his previous average speeds by 12.5% & (100/9)% respectively. For the doubled track-length, the difference in time taken by them to finish the race is 3 minutes. Then the original racing distance was-

Question 4

Directions: A car moving with uniform speed of 50km/h covers half the distance with this speed. Half of the time of the remaining distance is covered with speed 35km/h and the other half time at 10km/h. If the total distance travelled is 90 km, answer the following questions-
What was the car’s average speed (approximately) during his entire journey?

Question 5

Sanjay went 20 km at an average speed of 15 km/hr and again travels 15 km at an average speed of 12 km/hr. Find his average speed.

Question 6

A cyclist covers his first 20 km at an average speed of 40 kmph, another 10 km at an average speed of 10 kmph and the last 30 km at an average speed of 40 kmph. Then the average speed of the entire journey is

Question 7

The average speed of a car is 75 km/h. The driver first decreases its average speed by 40% and then increases it by 50%. What is the new average speed now ?

Question 8

A Honda takes ten minutes to go from milepost 71 to milepost 81. A Toyota takes fifteen minutes to go from milepost 65 to milepost 80. Which car has the higher average speed.

Question 9

The average speed of Raj is 4/5 times the average speed of Ram. Mohan covers 900 km in 15 hours. How much distance will the Raj cover in 4 hours, if the average speed of the Ram is twice the speed of the Mohan?

Question 10

A train goes from Ballygunge to Sealdah at an average speed of 20 km/hour and comes back at an average speed of 30 km/hour. The average speed of the train for the whole journey is
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