Question
120 unit of work can be completed by P alone in 20 days.
P started working alone and joined by Q after 10 days such that they completed the remaining work in 6 days. Find the number of days taken by Q to complete the whole work alone.Solution
Let the efficiency of Q = x units/day Efficiency of P = (120/20) = 6 units/day According to question: 6 × 10 + (6 + x) × 6 = 120 Or, 60 + 36 + 6x = 120 Or, 6x = 120 – 96 Or, 6x = 24 Or, x = 4 Number of days taken by Q to complete the work alone = (120/4) = 30 days
More Time and work Questions
- Find the wrong number in the given number series.
6, 14, 42, 105, 230, 446 - 80, - 44, - 4, 88, 216, 380
10 3 7 6 40 310
...5, 13, 41, 185, 1111, 8149
1677, 1661, 1625, 1561, 1461, 1337.
12, 14, 18, 26, 38, 64
768Â Â Â 2304Â Â Â 288Â Â Â 864Â Â Â 106Â Â Â 324
12, 36, 41, 121, 128, 384
324, 314, 294, 264, 224, 184
Find the wrong number in the given series.
24, 50, 96, 198, 388, 794
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