Railways NTPC · Mathematics

Time and work

11 practice questions, each with the answer and an explanation.

Practise Time and work now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 11 questions

A can finish a job in $16$ days and B in $48$ days. Working together, in how many days can they finish it?
Three pipes $A$ , $B$ , and $C$ can fill a tank in $12$ , $15$ , and $20$ hours respectively. Pipe $A$ is kept open all the time, while pipes $B$ and $C$ are opened alternately for $1$ hour each, starting…
A can finish a job in $12$ days and B in $6$ days. Working together, in how many days can they finish it?
A can finish a job in $18$ days and B in $9$ days. Working together, in how many days can they finish it?
A can finish a job in $28$ days and B in $7$ days. Working together, in how many days can they finish it?
A can finish a job in $40$ days and B in $10$ days. Working together, in how many days can they finish it?
A can finish a job in $20$ days and B in $30$ days. Working together, in how many days can they finish it?
A railway contractor engages 30 workers to lay track in 25 days. After 15 days, only half of the track is completed. How many additional workers must be hired to complete the work strictly on time?
Two locomotives X and Y together can haul a train of freight cars up an incline in 6 hours. Locomotive X alone takes 10 hours. In how many hours can locomotive Y alone haul the same freight train?
Three water pumps A, B, and C fill a locomotive reservoir. Pump A and B together fill it in 4 hours, B and C in 6 hours, and A and C in 8 hours. How long will pump A take alone to fill the reservoir?
A maintenance crew consists of 8 men and 6 women who can repair a track segment in 5 days, while 6 men and 10 women can repair the same segment in 4 days. In how many days can 1 man and 1 woman repair…

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