$39$ persons can repair a road in $12$ days, working $5$ hours a day. In how many days will $30$ persons, working $6$ hours a day, complete the work?

9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

13

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $13$
Given,

Let the required number of days be $x$ .

$\begin{matrix} P e r s o n s & 30 : 39 W o r k i n g h o u r s / d a y & 6 : 5 \end{matrix}} ⋮ ⋮ 12 : x$
$\Rightarrow 30 \times 6 \times x = 39 \times 5 \times 12$

$∴ x = 13$

Hence the number of days.

Suggest Corrections

Similar questions

Q. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons working 6 hours a day complete the work. [4 MARKS]

40 men can build a road in 10 days, working 5 hours a day. In how many days will 30 men, working 8 hours a day, complete the road?

15

persons complete a work in

4

days by working

6

hours a day. How many days will it take to complete the work if

30

persons work

4

hours a day?

Q. 10 men working 6 hours a day, can complete a work in 18 days. How many hours a day must 15 men work, to complete the same work in 12 days?

Ted can complete a work in 8 days working 12 hours a day. Sid can complete the same work in 16 days working 5 hours a day. If both Ted and Sid work together, working 6 hours a day, in how many days can they complete the work?

Join BYJU'S Learning Program

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

The correct option is C 13Given,Let the required number of days be x.Persons30:39Workinghours/day6:5}⋮⋮12:x⇒30×6×x=39×5×12∴x=13Hence the number of days.

$39$ persons can repair a road in $12$ days, working $5$ hours a day. In how many days will $30$ persons, working $6$ hours a day, complete the work?

The correct option is C $13$
Given,

Let the required number of days be $x$ .

$\begin{matrix} P e r s o n s & 30 : 39 W o r k i n g h o u r s / d a y & 6 : 5 \end{matrix}} ⋮ ⋮ 12 : x$
$\Rightarrow 30 \times 6 \times x = 39 \times 5 \times 12$

$∴ x = 13$

Hence the number of days.