Question

A school trip covered 1/3rd of the journey by boat, 2/5th by train by bus and 1/15th by bus and remaining distance of 7200m by foot. What is the total distance and difference between the distance covered by train and bus

Answer 1

Answer:

Step-by-step explanation:

Let total journey is x .

So,

Journey covered by boat = $\frac{1}{3} *x$

Journey covered by train = $\frac{2}{5} *x$

Journey covered by bus = $\frac{1}{15} *x$

Remaining journey by foot = 7200 M

So

total journey = Journey by (boat + train + bus + foot)

$x = \frac{1}{3} *x + \frac{2}{5} *x + \frac{1}{15} *x + 7200\\x = \frac{x}{3} + \frac{2x}{5} + \frac{x}{15} + 7200$

LCM of R.H.S

$x = \frac{5x+6x+x+108000}{15} \\15x=12x + 108000\\15x-12x=108000\\x = \frac{108000}{3} \\x=36000 Meters$

Total Distance = x = 36000 Meters.

Difference = Distance cover by train - bus

= $\frac{2}{5} *36000 - \frac{1}{15} *36000\\2* 7200 - 2400\\14400-2400\\12000 Meters$