Question

43. A certain number of tankers were required to trans-
port 60 lakh liters of oil from the IOCL factory
in Mathura. However, it was found that since each
tanker could take 50,000 liters of oil less, another
4 tankers were needed. How many tankers were
initially, planned to be used?
(a) 10
(b) 15
(c) 20
(d) 25

Answer 1

Given:

Total volume of oil to be carried= 60 lakh litres

Each tanker could take 50,000 liters of oil less

More number of tankers required= 4

To find:

The number of tankers initially planned to be used

Solution:

Let the initial number of tankers required be T

So, the amount of oil that is to be carried by each tanker= 60(lakh)/T

The real amount of oil that can be carried by each tanker=[ 60(lakh)/T ] - 0.5(lakh)

Also, we can write-

The amount of oil ultimately carried by each tanker after 4 are added= 60/(T+4)

So, according to the conditions,

(60/T)- 0.5= 60/(T+4)

On solving the given equation, we get the value of T as 20.

The number of tankers initially planned to be used is 20.