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39 persons can repair a road in 12 days working 5 hours a day. In how many days will 30 persons working 6 hours a day complete the work ?
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- 10 days
- 13 days
- 14 days
- 15 days
Correct Option: B
Less persons, more days (Indirect)
More working hours/day, less days (Indirect)
Let required no. of days be x.
∴ | : : 12 : x | 6 : 5 |
⇒ 30 × 6 × x = 39 × 5 × 12
⇒ x = | = 13 days | 30 × 6 |
Aliter : Using Rule 1,
Here, M1 = 39, D1 = 12, T1 = 5
M2 = 30, D2 = ?, T2 = 6
M1D1T1 = M2D2T2
39 × 12 × 5 = 30 × D2 × 6
⇒ D2 = | = 13 days | 30 × 6 |