Question

P and Q run along a circular track in 4 minutes and 7 minutes respectively. they start at same point and time . when Q has completed 12 rounds , how many times they meet if 1. they run in same direction and 2. in opposite direction​

Answer 1

Answer:

9 & 33 Times

Step-by-step explanation:

P and Q run along a circular track in 4 minutes and 7 minutes respectively. they start at same point and time . when Q has completed 12 rounds , how many times they meet if 1. they run in same direction

P run along a circular track in 4 minutes

Q run along a circular track in 7 minutes

Let say Track one round length = R

P speed = R/4

Q speed = R/7

1. they run in same direction

P runs faster so p will meet Q when he has done 1 circular round extra

Let say after T min they meet

=> T(R/4) = R + T(R/7)

=> T ( R/4 - R/7) = R

=> T (3R) = 28R

=> T = 28/3 mins

Every 28/3 mins  they meet once

Q completes 12 rounds in 12 * 7 = 84 mins

Number of times they meet = (84/28/3) = 9

9 Times

2. in opposite direction​

They Meet together when they have have completed one ciruclar round together

=> T(R/4) + T(R/7) = R

=> T 11R = 28R

=> T = 28/11 mins

Every 28/11 mins they meet

Q completes 12 rounds in 12 * 7 = 84 mins

Number of times they meet = (84/28/11) = 33

33 Times