Question

A train travelling at a uniform speed covers a distance of 255 km in 1½ hours. Find the speed of the train and the distance covered in 3¾ hours.

Answer 1

This is the answer you want.

Answer 2

Step-by-step explanation:

$\huge\fbox\pink{A}\fbox\blue{n}\fbox\purple{S}\fbox\green{w}\fbox\red{E}\fbox\orange{r}$

${\bold{\sf{➝ \: A \: train \: travelling \: at \: a \: uniform \: seed \: covers \: a \: distance \: of \: 255 \: km \: in \: {1}\frac{1}{2} \: hour}}}$

${\bold{\sf{➝ \: 255 \: km \: in \: 90 \: minutes}}}$

${\bold{\red{We \: know \: that \: Speed \: = \frac{Distance}{Time}}}}$

${\bold{\sf{→ \: Speed = \frac{255}{\frac{3}{2}}}}}$

${\bold{\sf{→ \: Speed = 255 × \frac{2}{3}}}}$

${\bold{\sf{→ \: Speed = 170 km/hr}}}$

${\bold{\sf{\fbox{\red{→ \: As train is in uniform speed, the speed remains constant}}}}}$

${\bold{\sf{→ \: i.e, 170km/hr}}}$

${\bold{\sf{→ \: If \: Speed \: = \: \frac{Distance}{Time}}}}$

${\bold{\sf{→ \: therefore \: 170 \: = \: \frac{Distance}{\frac{15}{4}}}}}$

${\bold{\sf{→ \: Distance \: = \: 170 × \frac{15}{4}}}}$

${\bold{\sf{\orange{→ \: Distance \: = \: 637.5 km}}}}$

${\large{\mathfrak{\red{Required \: Answer \: is \: 637.5 \: km}}}}$

${\large{\sf{\fbox{\pink{Hope this is helpful to you}}}}}$