Rajesh can finish 1/5 of his home work in one hour. Seema can finish 3/7 of her homework in 90 minutes and ramya can finish 3/4 of her homework in three and a half hours. If all of them start their home work at 12.00 pm and can go to play as soon as they all finish their homework. When can they start to play, if they take a break at 3.30 pm for 30 minutes?
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4:00pm they will start to play
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Answer: 5:30 PM
Step-by-step explanation:
From 12-3:30, number of minutes = 210 mins
Time which Rajesh takes to complete the work = 5 hrs = 5 x 60 = 300 mins
Rajesh's time allocation will be - 210 mins + 30 mins break + 90 mins post 4 = 5:30 he finishes the work.
Time which Seems takes to complete the work = 90 * (7/3) = 210 mins
Seema's time allocation will be - 210 mins = 3:30 she finishes the work.
Time which Ramya takes to complete the work = 210 * (4/3) = 280 mins
Ramya's time allocation will be - 210 mins + 30 mins break + 70 mins post 4 = 5:10 she finishes the work.
Work Completed as follows:-
Rajesh - 5:30 PM
Seema - 3:30 PM
Ramya - 5:10 PM
So they all will play together when Rajesh(slowest of all) completes the work. That will be at 5:30 PM.
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