Bus A and Bus B leave the bus depot at 7 am. Bus A takes 25 minutes to do its route and bus B takes 40 minutes to complete its route. At what time are they both back at the bus depot together?

Respuesta :

Bus A and Bus B leave the bus depot at 7 am. At 10:20 AM are they both back at the bus depot together.

Given:

  • Bus A takes 25 minutes to complete its route once  
  • Bus B takes 40 minutes to complete its route  
  • To find time when they will be back at the bus depot together we need to find LCM of 25 & 40 Minutes  

=> 25 = 5 * 5  

=> 40 = 2 * 2 * 2 * 5  

  • LCM = 2 * 2 * 2 * 5 * 5  

=> = 200

Thus, After 200 minutes Buses will be back at the bus depot together

  • 200 minutes = 3 hr 20 Minutes  
  • 7 : AM  +  3 hr 20 Minutes => = 10 : 20 AM  

Thus, At 10: 20 AM Buses would be back at the bus depot together.

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