Question

A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th da

Answer 1

Thank you for asking this question. Here is your answer:

Let the no. of orders received per day be x

And let the no.of pending orders be y

The number of items delivered per truck be n

The no of trucks per day required to clear pending orders in 5 days be t

Then we have 3 equations for 3 different situation given in question:

4x + y = 4 x 7 x n

10x + y = 10 x 3 x n

5x + y = 5 x t x n

When we will solve it we get t = 5.67

Since number of trucks must be integral value

So the number of trucks are 6

If there is any confusion please leave a comment below.