Rajesh can finish 1/5 of his home work in one hour. Seema can finish 3/7 of…
2023
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?
- A.
5:30 pm
- B.
4:50 pm
- C.
4:30 pm
- D.
5:10 pm
Attempted by 10 students.
Show answer & explanation
Correct answer: A
Step 1: Find each person’s total time to finish homework.
Rajesh: He does 1/5 in 1 hour, so the whole work takes 5 × 1 hour = 5 hours = 300 minutes.
Seema: She does 3/7 in 90 minutes, so whole work = 90 × (7/3) = 210 minutes.
Ramya: She does 3/4 in 3.5 hours, so whole work = 3.5 × (4/3) = 14/3 hours = 4 2/3 hours = 280 minutes.
Step 2: Determine work done before the break.
They start at 12:00 PM and take a break at 3:30 PM, so they work 3.5 hours = 210 minutes before the break.
Step 3: Compute remaining time for each after the break.
Rajesh: 300 − 210 = 90 minutes remaining → resumes at 4:00 PM and finishes at 5:30 PM.
Seema: 210 − 210 = 0 minutes remaining → already finished at 3:30 PM.
Ramya: 280 − 210 = 70 minutes remaining → resumes at 4:00 PM and finishes at 5:10 PM.
Final conclusion: They can start to play at 5:30 PM.