Question

A bus travels at an average speed of 48km/h between two towns that are 384km apart. If it stops twice for half-hour breaks on the way, how long does it take to complete the journey?​

Answer 1

Answer: speed = distance /time

384 km in 48km/h are 384 /48 is 8

8hour and 2breaks of 30 minutes so it is 60 minutes and, 60 minutes =1 hour so it takes 8 hour + 1 hour =9hour to reach the town

Answer 2

Answer:

8 hours

Explanation:

As per the provided information in the given question, we have :

• Average speed of the bus = 48 km/h
• Total distance covered = 384 km
• It stops twice for half-hour breaks on the way.

We've been asked to calculate the time taken to complete the entire journey.

⠀⠀⠀⠀⠀⠀⠀⠀⠀» According to the question, the average speed is 48 km/h, total distance covered is 384 km and it stops twice for half-hour breaks on the way, half an hour means 30 minutes. As, we have to calculate total time taken, so we'll be using here the formula of average speed. Let us assume the rest time taken after being stopped for half-hour breaks as x hours.

As we know that,

$\bigstar \quad\underline{\boxed{ \bf {Speed_{(Avg)}= \dfrac{Total \; distance}{Total\; Time} }}}$

Substitute the values as per the question.

$\dashrightarrow \quad \rm {48 \; km \: h^{-1} = \dfrac{384 \; km}{x \; h + (30 + 30) min} } \\ \\ \dashrightarrow \quad \rm { 48 \; km \: h^{-1} = \dfrac{384 \; km}{x \; h + (60) min} } \\ \\ \dashrightarrow \quad \rm { 48 \; km \: h^{-1} = \dfrac{384 \; km}{(x + 1) \; h} } \\ \\ \dashrightarrow \quad \rm { 48 = \dfrac{384 }{x + 1} } \\ \\ \dashrightarrow \quad \rm { 48(x + 1) = 384 } \\ \\ \dashrightarrow \quad \rm { 48x + 48 = 384 }\\ \\ \dashrightarrow \quad \rm { 48x= 384 - 48 }\\ \\ \dashrightarrow \quad \rm { 48x= 336 } \\ \\ \dashrightarrow \quad \rm { x= \cancel{\dfrac{336}{48}} } \\ \\ \dashrightarrow \quad \underline{\boxed{\bf { x = 7}} }$

$\rule{200}2$

$\large {\underline { \sf {Total \; time \; taken :}}}$

• Total time taken = (x + 1) hours = (7 + 1) hours = 8 hours

∴ It takes 8 hours to complete the journey.