Time and Work Quiz Set 012 | Maths Aptitude Quiz Questions and Mock Test on Time and Work Set 12 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

A can do a work in 4 days. B can destroy the work in 15 days. In how many days will they together complete the work?

$5{5/11}$ days.

$6{5/11}$ days.

$7{5/11}$ days.

$8{5/11}$ days.

Soln.
Ans: a

Putting x = 4 and y = 15 in the shortcut method, we get ${xy}/{y - x}$ = ${60/11}$, which is same as: $5{5/11}$.

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Question 2

A can harvest a field in 8 days. B can do the same work in 16 days. In how many days will they together harvest the field?

$5{1/3}$ days.

$6{1/3}$ days.

$7{1/3}$ days.

$8{1/3}$ days.

Soln.
Ans: a

Putting x = 8 and y = 16 in the shortcut method, we get ${xy}/{x + y}$ = ${16/3}$, which is same as: $5{1/3}$.

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Question 3

A and B can complete a job in 38 and 152 days. They start together but A leaves after working for 30 days. How long would B take to finish the job counting from the day both A and B started together?

32 days.

33 days.

31 days.

35 days.

Soln.
Ans: a

If B takes x days. The total job is A's work in 4 days + B's work in x days = $30/38$ + $x/152$ = 1. Solving, we get x = 32 days.

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Question 4

A can harvest a field in 11 days. B can do the same work in 14 days. In how many days will they together harvest the field?

$6{4/25}$ days.

$7{4/25}$ days.

$8{4/25}$ days.

$9{4/25}$ days.

Soln.
Ans: a

Putting x = 11 and y = 14 in the shortcut method, we get ${xy}/{x + y}$ = ${154/25}$, which is same as: $6{4/25}$.

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Question 5

A, B and C can independently complete a work in 19, 9 and 18 days respectively. First C starts the work, then A joined after 5 days, and B after 9 days. In how many days was the work completed?

$10{8/25}$ days.

$11{8/25}$ days.

$12{8/25}$ days.

$13{8/25}$ 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 joins after n days, and B joins after m days, the work is completed in ${xyz}/{xy + yz + zx}$ × $(1 + n/x + m/y)$ days. Putting the various values x = 19, y = 9, z = 18, n = 5, m = 9, and simplifying, we get ${258/25}$, which is same as: $10{8/25}$.

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