Bissoy.com
Doctors Medicines MCQs Q&A

A cat and a rat participate in a 550 meter race. Cat runs 5m/s for first 10 seconds, 8m/s for next 10 sec and 11m/s for next 10 sec and so on. Rat runs 7m/s throughout. How much leads in terms of distance, if the cat finished the race.

A cat and a rat participate in a 550 meter race. Cat runs 5m/s for first 10 seconds, 8m/s for next 10 sec and 11m/s for next 10 sec and so on. Rat runs 7m/s throughout. How much leads in terms of distance, if the cat finished the race. Correct Answer 200 meters

Given:

Race of 550 meter

Cat speed for first 10 seconds is 5 m/s

For the next 10 second is 8 m/s

For the next 10 seconds is 11 m/s

Rat speed is 7 m/s

Formula used:

Speed = Distance/TIme

Calculation:

Time taken by the cat

First 10 sec = 10 × 5 = 50 meter

Next 10 sec = 10 × 8 = 80 meter

Next 10 sec = 10 × 11 = 110 meter

Next 10 sec = 10 × 14 = 140 meter

Next 10 sec = 10 × 17 = 170 meter

Hence cat covers 550 meter race in 50 sec.

In 50 sec distance covered by rat = 50 × 7 = 350 metre

Difference in distance = 550 – 350 = 200 metre

∴ Cat wins the race by 200 meters.

Related Questions

John, Jack, Joseph and Jordan participated in a running race. Only the winner finished the race in 10 minutes. Which two pieces of information can tell you who the winner was? (i) John finished the race in 16 minutes . (ii) Joseph finished the race earlier than Jack by 2 minutes. (iii) Jack finished the race later than Jordan by 4 minutes. (iv) Jordan finished the race earlier than John by 6 minutes. (v) John finished the race later than Joseph by minutes.
A truck approaches a tunnel inside a tunnel a rat is sitting at a point which is 4/9th of the distance of the tunnels measured from the entrance. When the truck horns the rat moves towards the entrance and truck catches the rat at the entrance and if the rat runs towards the exit then also truck catch the rat at the exit. The speed of truck is how much times the speed of rat?
Among 170 students of a class, 155 students participate in one or more of the three classes: Guitar, Drum and Violin. Total 21 students participate on any and only two of three classes. 54 students participate in Drum class only, whereas 43 students participate in Violin class only. 5 students participate in all the three classes. How many students participate in Guitar class only?
In a boat race, Raman came ahead of Vaman by a 10-second margin; Naman came ahead of Gagan by 12 seconds; and Laddan came ahead of Madan by 18 seconds. Vaman finished just 1 second after Laddan, and Naman finished 2 seconds after Madan. Who among the given friends finished first in the race?
Below is the list of answers given by students as their favorite pet. Determine the frequency of dog. dog, cat, fish, turtle, cat, rabbit, turtle, dog, cat, dog, cat, dog, dog, turtle, dog, cat, cow, fish, rabbit, dog, cat, dog, cat, cat, dog, turtle, rabbit, cat, fish, dog, turtle
Pavan cycles at a speed of 6 m/s for the first 10 seconds, 8 m/s for the next 10 seconds, 10 m/s for the next 10 and so on. Ishan cycles at a constant speed of 10 m/s throughout. If Pavan and Ishan had to cycle for a 580 m race, how much lead in terms of distance, can Pavan give Ishan and still finish the race at the same time as Ishan?
Four persons A, B, C, D participate in and finish a race. There are no ties for any position at the finish of the race. The following statements are known about the race. C finished somewhere ahead of A and B finished somewhere ahead of D. If D finished third, which of the following must be true?
A dog is chasing a cat and the cat is 36 jumps ahead of itself jump from the dog. The dog can jump 3 times in the time in which the cat jumps 4 times and the distance covered by the dog and the cat in one jump is 2.4 meter and 1.5 meter respectively. In how much jumps, dog will catch the cat?
A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is $$\frac{3}{8}$$ of the distance AB measured from the entrance A. When the train whistles, that cat runs. If the cat moves to the entrance A of the tunnel, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. The ratio of the speed of the train to that of the cat is of the order :
A beats B by 13 sec in a 250 m race, B beats C by 18 sec in a 400 m race, C beats D by 21 sec in 600 m race and D beats E by 36 sec in a 750 m race. What must be the speed of A in order to beat E by 200 m in a 1 km race?