Tick the correct answer-A can do a piece of work in 15 days- B is 50 - more efficient than A- A can finish it ina 10 daysb 712 daysc 12 daysd 1012 days

(a) 10 days Work #160;done #160;by #160;A #160;in #160;1 #160;day=115B #160;is #160;50 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Time and Work

Tick the cor...

Question

A can do a piece of work in 15 days. B is 50% more efficient than A. B can finish the total work in
(a) 10 days
(b) $7 \frac{1}{2}$ days
(c) 12 days
(d) $10 \frac{1}{2}$ days

Open in App

Solution

Correct option is (a). 10 days
Amount of work done by A in one day $= \frac{1}{15}$ units.
Since, B is 50% more efficient than A, therefore,
Amount of work done by B in one day $= \frac{1}{15} + \frac{1}{2} \times \frac{1}{15} = \frac{1}{15} \times \frac{3}{2} = \frac{1}{10}$ units.
Thus, time taken to complete the total work $= 1 \div \frac{1}{10}$
$= 10$ days

Suggest Corrections

Similar questions

A can do a piece of work in 15 days. 13 is 50% more efficient than A. B can finish it in

(a) 10 days

(b) $7 \frac{1}{2}$ days

(d) $10 \frac{1}{2}$ days

Q. Mark (✓) against the correct answer:
A can do a piece of work in 14 days and B is 40% more efficient than A. In how many days can B finish it?
(a) 10 days
(b)

7 \frac{1}{2}

days
(c)

5 \frac{1}{4}

days
(d)

5 \frac{3}{5}

days

Q. Tick (✓) the correct answer:
A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in
(a) 24 days
(b) 27 days
(c) 36 days
(d) 48 days

Q. Tick (✓) the correct answer:
A alone can do a piece of work in 10 days and B alone can do it in 15 days. In how many days will A and B together do the same work?
(a) 5 days
(b) 6 days
(c) 8 days
(d) 9 days

$A$ can do a piece of work in $25$ days, which $B$ alone can do in $20$ days. A started the work and was joined by $B$ after $10$ days. The work lasted for
(a) $12 \frac{1}{2}$ days
(b) $15$ days
(c) $16 \frac{2}{3}$ days
(d) $14$ days

Join BYJU'S Learning Program

A can do a piece of work in 15 days. B is 50% more efficient than A. B can finish the total work in(a) 10 days(b) 712 days(c) 12 days(d) 1012 days

Correct option is (a). 10 daysAmount of work done by A in one day =115 units.Since, B is 50% more efficient than A, therefore,Amount of work done by B in one day =115+12×115=115×32=110 units.Thus, time taken to complete the total work =1÷110=10 days

A can do a piece of work in 15 days. B is 50% more efficient than A. B can finish the total work in
(a) 10 days
(b) $7 \frac{1}{2}$ days
(c) 12 days
(d) $10 \frac{1}{2}$ days