Pascal and Rascal are two workers. Working together they can complete the whole work in 10 hours. If the Pascal worked for 2.5 hours and Ra… — Answer & Discussion

Pascal and Rascal are two workers. Working together they can complete the whole work in 10 hours. If the Pascal worked for 2.5 hours and Rascal worked for 8.5 hours, still there was half of the work to be done. In how many hours Pascal working alone, can complete the whole work?

A24 hours
B\(17\frac{1}{7}{\rm{ \;hours}}\)
C40 hours
DCan’t be determined

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Discussion 1

CCommunity06 May 2019

Let a and b be the number of hours required by Pascal and Rascal to complete the job individually.

∴ According to the given conditions,

1/a + 1/b = 1/10 - - - - - - (1)

And, 2.5/a + 8.5/b = 1/2 - - - - - - (2)

On solving equations (1) and (2) simultaneously, we get,

⇒ a = 120/7 and b = 24

∴ Pascal can complete the whole work in 120/7 hours.