Bissoy.com
Doctors Medicines MCQs Q&A

In 5 km race, if P gives Q 500 m start and P wins the race by 2.1 min. When Q wins the race by 1000 m if P gives 4.2 min start. Find the difference in the time taken by Q and P.

In 5 km race, if P gives Q 500 m start and P wins the race by 2.1 min. When Q wins the race by 1000 m if P gives 4.2 min start. Find the difference in the time taken by Q and P. Correct Answer 3 min 

Let P takes M seconds and Q takes N seconds to run the 5000m race.

2.1 min = 2.1 × 60 = 126s

4.2 min = 4.2 × 60 = 252s

Given,

⇒ M + 126 = 4500N/5000

⇒ 4000M/5000 + 252 = N

Solving,

Then,

⇒ M = 360s

⇒ N = 540s

Required difference in time taken by Q and P

⇒ 540 – 360 = 180 sec ⇒ 3 min

Related Questions

A, B and C run a 1 km race. When A and B run, A wins by 300 m. When B and C run, C wins by 30 sec. When A and C runs, A wins by 50 sec. Difference between the time taken by B and A to run a race of 1000 m is –
The following table shows the income (in rupees) for a particular month, together with their source, in respect of 5 employees (A, B, C, D and E).   A B C D E Salary 52,000 48,500 42,000 31,000 25,000 Overtime 0 0 1,500 2,500 3,200 Arrears 5.500 4,500 4,000 3,000 1,500 Bonus 3,500 3,000 2,500 2,000 2,000 Miscellaneous income 5,000 3,000 1,500 1,500 0 Total 66,000 59,000 40,000 40,000 31,700   For employee D, the income from overtime is what percentage of his total income?
The following table shows the income (In Rs.) for a particular month, together with their source, with respect to 5 employees (A, B, C, D, and E)   A B C D E Salary 52,000 48,500 42,000 31,000 25,000 Overtime 0 0 1,500 2,500 3,200 Arrears 5,500 4,500 4,000 3,000 1,500 Bonus 3,500 3,000 2,500 2,000 2,000 Miscellaneous income 5,000 3,000 2,000 1,500 0 Total 66,000 59,000 52,000 40,000 31,700   How many employees got more than a total of Rs. 10,000 as income other than salary?
The following table shows the income (in rupees) for a particular month, together with their source, in respect of 5 employees (A, B, C, D and E)   A B C D E Salary 52,000 48,500 42,000 31,000 25,000 Overtime 0 0 1,500 2,500 3,200 Arrears 5,500 4,500 4,000 3,000 1,500 Bonus 3,500 3,000 2,500 2,000 2,000 Miscellaneous income 5,000 3,000 2,000 1,500 0 Total 66,000 59,000 52,000 40,000 31,700 How many employees got more arrears than the average arrears received by all the employees?
The table below shows income (in rupees) for a particular month, together with their sources in respect of 5 employees A, B, C, D and E Employee A B C D E Salary 52,000 48,500 42,000 31,000 25,000 Overtime 0 0 1,500 2,500 3,200 Arrears 5,500 4,500 4,000 3,000 1,500 Bonus 3,500 3,000 2,500 2,000 2,000 Miscellaneous income 5,000 3,000 2,000 1,500 0 Total 66,000 59,000 52,000 40,000 31,700 How many employees have their salary more than four times their other incomes?
In a race of one kilometre. A gives B a start of 100 metres and still wins by 20 seconds. But if A gives B a start of 25 seconds, B wins by 50 metres. The time taken by A to run kilometre is :
X, Y and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to complete in a race of 1000 m, how much meters start will Y give to Z ?
In a 4000 meters race, A wins by 400 meters over B, and B can give a start of 400 meters to C in 2000 meters race. How much start A gives to C in a 5000 meters race, so that both reach at the same time? A. 70% of 2000 B. 1500 C. 1600 D. 1200
In a 5 Km race, Vikas wins by 500 m over Anuj while Anuj can give a start of 200 m to Pavan in a 1 km race. In 5 km race, how much start can Vikas give Pavan so that both reach the destination simultaneously?
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.