Q194
ArithmeticTime & Work, Pipes & Cisterns
Manoj can type 100 pages of a report in 10 hours and Bobby can do the same in 15 hours. They worked together for 5 hours. The remaining work was completed by Lucy in 2 hrs. If they received Rs. 2,400 for whole work, Lucy got
- a.Rs. 300
- b.Rs. 250
- c.Rs. 200
- d.Rs. 400
Answer: (D) Rs. 400
Manoj types $\frac{100}{10}=10$ pages an hour and Bobby $\frac{100}{15}=\frac{20}{3}$ pages an hour. In 5 hours together they type $5\times\left(10+\frac{20}{3}\right)=83\frac{1}{3}$ pages, i.e., $\frac{5}{6}$ of the work. Lucy does the remaining $\frac{1}{6}$ (about $16\frac{2}{3}$ pages). Payment is shared in proportion to the work done, so Lucy gets $\frac{1}{6}\times2400=$ Rs. 400; Manoj gets Rs. 1,200 and Bobby Rs. 800. The '2 hours' is extra data - wages depend on work done, not on time taken.