Question

Two person P and Q are 844 m apart. The both start cycling simultaneously in the same direction with speeds of 12 m/s and 8 m/s, respectively, In how much time will P overtake Q?

• A. 3 minutes and 18 seconds
• B. 3 minutes and 20 seconds
• C. 3 minutes and 31 seconds
• D. 3 minutes and 24 seconds

Answer 1

Answer:

C. 3 minutes and 31 seconds

Solution: Given: Distance = 844m Speed of cyclists = 12m/s and 8m/s Formula Used: Relative Speed = Speed of faster cyclist - speed of slower cyclist Calculation: Relative speed of two cyclists = 12 - 8 = 4 m/s ⇒ Time after which they will overtake = 844/4 ⇒ 211 sec ⇒ 3 min and 31 sec ∴ The time taken by P to overtake Q is 3 min 31 sec.