Time and Work Quiz Set 017 | Maths Aptitude Quiz Questions and Mock Test on Time and Work Set 17 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

A, B and C complete a work in 6, 4 and 5 days respectively. All three of them start the work together, but A leaves the work after 2 days, and B leaves the work after 1 days. In how many days will the work be completed?

$2{1/12}$ days.

$3{1/12}$ days.

$4{1/12}$ days.

$5{1/12}$ days.

Soln.
Ans: a

Use the shortcut formula. If A, B, C can independently complete the job in x, y and z days, and A leaves after n days, and B after m days, the work is completed in z × $(1 - n/x - m/y)$ days. Putting the various values x = 6, y = 4, z = 5, n = 2, m = 1, and simplifying, we get ${25/12}$, which is same as: $2{1/12}$.

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Question 2

If 14 men can do a task in 18 days, how many men are required to complete the task in 7 days?

36.

10.

Soln.
Ans: a

If m₁ men can do a task in d₁ days, and m₂ in d₂, then we must have m₁ × d₁ = m₂ × d₂. Putting m₁ = 14, d₁ = 18 and d₂ = 7, we get m₂ = 36.

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Question 3

A can harvest a field in 2 days. B can do the same work in 9 days. In how many days will they together harvest the field?

$1{7/11}$ days.

$2{7/11}$ days.

$3{7/11}$ days.

$4{7/11}$ days.

Soln.
Ans: a

Putting x = 2 and y = 9 in the shortcut method, we get ${xy}/{x + y}$ = ${18/11}$, which is same as: $1{7/11}$.

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Question 4

A can harvest a field in 19 days. B can do the same work in 13 days. C can do the same work in 5 days. How much did A get if the farmer pays them a total amount of Rs. 13300 for a work that they together completed in 4 days?

Rs. 2800.

Rs. 2900.

Rs. 2700.

Rs. 3100.

Soln.
Ans: a

Work done by A in 1 day = $1/19$. So the work in 4 days = 4 × $1/19$. His share is Rs. 4 × $1/19$ × 13300 = Rs. 2800.

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Question 5

A new tub can be filled by a tap in 5 minutes. But the tub is worn out, and there is a leakage that can empty the tub in 13 minutes. In how many minutes will the tap be able to fill the tub?

$8{1/8}$ mins.

$9{1/8}$ mins.

$10{1/8}$ mins.

$11{1/8}$ mins.

Soln.
Ans: a

Putting x = 5 and y = 13 in the shortcut method, we get ${xy}/{y - x}$ = ${65/8}$, which is same as: $8{1/8}$.

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