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Ram can do a piece of work in 20 days and Shyam in 30 days. They work together for 10 days. After that Shyam leaves and rest of the work is completed by Ram alone. How long does it take Ram to finish the remaining work?
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- 3 days
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2 1 days 3 -
3 1 days 3 -
4 1 days 3
Correct Option: C
| Ram’s 1 day’s work = | 20 |
| Shyam’s 1 day’s work = | 30 |
∴ (Ram + Shyam)’s 1 day’s work
| = | + | = | ||||
| 20 | 30 | 60 |
| = | = | |||
| 60 | 12 |
∴ (Ram + Shyam)’s 10 days’ work
| = 10 × | = | |||
| 12 | 6 |
⇒ Remaining work
| = 1 - | = | |||
| 6 | 6 |
Now, 1/6 work is completed by Ram alone.
To finish this part Ram will take
| = | = | |||
| Remaining work | ||||
| Ram’s1 day’s work | ||||
| 20 |
| = | × 20 = | = 3 | days. | |||
| 6 | 3 | 3 |
