A does a work in $10$ days and B does the same work in $15$ days. In how many days they together will do the same work.

6

days

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

5

days

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

9

days

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

8

days

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

Open in App

Solution

The correct option is A $6$ days
$L e t t h e t o t a l w o r k b e x u n i t s$
$S p e e d o f A = \frac{x}{10} w o r k p e r d a y .$
$S p e e d o f B = \frac{x}{15} w o r k p e r d a y .$
$∴ S p e e d o f A + B = \frac{x}{6} w o r k p e r d a y .$
$H e n c e i f A + B w o r k t o g e t h e r t h e n t h e y w i l l c o m p l e t e t h e w o r k i n \frac{x}{\frac{x}{6}} = 6 d a y s$

Suggest Corrections

Similar questions

A does a work in 10 days and B does the same work in 15 days. In how many days will they together finish the same work?

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

(d) 9 days

12

6

10

15

Join BYJU'S Learning Program