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Quick Quiz on Speed, Time and Distance

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Question 1

Shyam and Vyom walk up an escalator (moving stairway). The escalator moves at a constant speed. Shyam takes three steps for every two of Vyom’s steps. Shyam gets to the top of the escalator after having taken 25 steps, while Vyom (because her slower pace lets the escalator do a little more of the work) takes only 20 setps to reach the top. If the escalator were turned off, how many steps would they have to make to walk up?

Question 2

Auto fare in Bombay Rs. 2.40 for the first 1 km, Rs. 2.00 per km for the next 4 km and 1.20 for each additional km thereafter. Find the fare in rupees for k km (k≥5).

Question 3

Directions: Answer the questions on the basis of the information given below.
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.
At what time do Ram and Shyam first meet each other?

Question 4

Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms)one minute before they collide?

Question 5

A tennis ball is initially dropped from a height of 180 m. After striking the ground, it rebounds (3/5)th of the height from which it has fallen. The total distance that the ball travels before it comes to rest is
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Nov 4CAT & MBA