Question
P can complete a work in 12 days working 8 hours a day,
Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?Solution
ATQ,
P's rate: P completes the work in 96 hours (12 days × 8 hours/day). So, P’s work rate is 1/96 of the work per hour. Q's rate: Q completes the work in 80 hours (8 days × 10 hours/day). So, Q’s work rate is 1/80 of the work per hour. When they work together, their combined work rate is: 
Thus, together they complete 11/480 of the work per hour. The time taken to complete the work is:
Since they work 8 hours a day, the number of days they will take is:
or 5(5/11)
For what was Albert Einstein awarded Nobel Prize?
The phenomenon of splitting white light into its component colours is called:
Which organ in the human body is primarily responsible for filtering blood?
Food cans are coated with tin and not with zinc because
What is the name of the reaction in which acid reacts with base to form salt and water?
Chemical equation is balanced according to the law of
Two billiard balls each of mass 0.02 kg moving in opposite directions with speed 5 m s−1 collide and rebound with the same speed. What is t...
The spokes used in the wheel of a bicycle increase its –
The substance which conducts current in the solid state is –
Which vitamin can be synthesized in the liver?
Relevant for Exams:
