Rahim does \(\frac{7}{{10}}\) of a work in 21 hours. He then calls in Bablu and they together finish the remaining work in 6 hours. How long Bablu alone would take to do the whole work?

Rahim does \(\frac{7}{{10}}\) of a work in 21 hours. He then calls in Bablu and they together finish the remaining work in 6 hours. How long Bablu alone would take to do the whole work?

1). \(63\frac{1}{3}\) hours
2). 75 hours
3). 60 hours
4). 56 hours

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Guest · Answer 1 · 2019-05-01 08:59:42

Rahim does (7/10) part of a work in = 21 hours

∴ Rahim completes the work in = 21 × (10/7) hours = 30 hours

∴ Part of work Rahim can do in an hour = 1/30

Remaining part of the work = 1 – (7/10) = 3/10

Bablu and Rahim together done 3/10^th part of the work in 6 hours

∴ Bablu and Rahim can complete the work = 6 × (10/3) hours = 20 hours

∴ Part of work Bablu and Rahim can do in an hour = 1/20

∴ Part of work Bablu alone can do in an hour

= Part of work Bablu and Rahim can do in an hour – Part of work Rahim can do in an hour

= (1/20) – (1/30)

= 1/60

∴ Bablu alone can complete the work in 60 hours

Rahim does \(\frac{7}{{10}}\) of a work in 21 hours. He then calls in Bablu and they together finish the remaining work in 6 hours. How long Bablu alone would take to do the whole work?

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