Question

Ram, Shyam and Ruchi start their journey around a circular track of radius 70 meters. If their speeds
11 m/min. 44 m/min and 22 m/min respectively, then how many times they will meet together at starting p
in 440 minutes after the start of their journey?
(1)10
(2) 9
(3) 12
(4) 11​

Answer 1

Answer:

11

Step-by-step explanation:

No. of times they meet =        440           +1

                                         LCM ( 11,44&22)

Answer 2

Answer:

11

Step-by-step explanation:

According to above data,

Length of the circular track = 2*π*70 = 2*(22/7)*70 = 440 (m)

Ram, Shyam & Ruchi will complete one round of the track in respectively,

(440/11 =) 40 min

(440/44 =) 10 min

(440/22 =) 20 min

Hence they will meet all together at starting point once

every [LCM (40, 10, 20) =] 40 min.

Therefore in 440 minutes after the start of their journey,

the number of times they will meet

all together at the starting point = 440/40 = 11 [Ans]