Time, Speed & Distance Level-3 Quiz-2

1. If Aahanna starts at 10 AM from her home and walks at 3 km/hr, she reaches the school 5 minutes after the first bell. If she starts at the same time but instead of walking, if she cycles at 6 km/hr, she reaches the school 5 minutes before the first bell. What must be the distance between Aahanna’s house and the school?

2. Ram and Shyam simultaneously start running from the same point in opposite directions along the perimeter of a circular garden of circumference 600 m. If their first point of meeting is at a distance of 240 m in a counterclockwise direction from the starting point, what would be the distance of their third meeting point from the starting point in the clockwise direction?

3. Using the principles of Physics, it can be shown that the distance covered by an object thrown with initial velocity ‘u’ m/s in ‘t’ seconds is the sum of the following two components:

1. The product of ‘u’ and ‘t’.
2. A component directly proportional to the square of ‘t’.

If an object is thrown from the highest mountain on the Mars with initial velocity 5 m/s, it covers 89 m in the 11th second, how much distance would it cover in the 13th second (in m)?

4. Rishav made a journey of 80 km at a constant speed from Kolkata to Singur in the morning. While returning in the evening he increased his speed and took 5 hours less. In fact he covered half of the total distance in the morning in 3 hours less time than the time taken to complete the return journey. What was his speed in the morning?

5. Two towns A and B are 100 km apart. A school is to be built for 100 students of town B and 30 students of town A. Expenditure on transport is Rs 1.20 per km per student. If the total expenditure on transport by all 130 students is to be as small as possible, then the school should be built at?

6. A and B walk from X to Y, a distance of 27 km at 5 kmph and 7 kmph respectively. B reaches Y and immediately turns back meeting A at Z. What is the distance from X to Z?

7. The winning relay team in a high school sports competition clocked 48 minutes for a distance of 13.2 km. Its runners A, B, C and D maintained speeds of 15 kmph, 16 kmph, 17 kmph, and 18 kmph respectively. What is the ratio of the time taken by B to time taken by D?

8. In a race of 200 metres run, A beats S by 20 metres and N by 40 metres. If S and N are running a race of 100 metres with exactly same speed as before then, by how many metres will S beat N ?

9. A man travels three-fifths of a distance AB at a speed of 3a, and the remaining at a speed of 2b. If he goes from B to A and back
at a speed of 5c in the same time, then

10. An express train travelling at 80 kmph overtakes a goods train, twice as long and going at 40 kmph on a parallel track, in 54 seconds. How long will the express train take to cross a station 400 m long?