Question

A bus covers a certain distance in 3 hours 20 mins at an average speed of 45 km/h. How long will it take to cover the same distance at a speed of 36 km/h?
In unitary method​

Answer 1

Aиѕωєr  —

$\bigstar\boxed{\large\bf{\leadsto 4\:hours\:10\: minutes}}$

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Giνєи —

• A bus covers a certain distance in 3 hours 20 mins
• The average speed of car is 45 km/h.

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Tσ Fiиd —

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• The time  to cover the same distance at a speed of 36 km/h?

Sσℓυтiσи –

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• Speed = 54 km/hr
• Time = 3 hrs 20 min

ㅤㅤ$\sf{\longrightarrow \dfrac{20}{3}hrs}$

ㅤㅤ$\underline{\boxed{\bf{ Speed = \dfrac{Distance}{Time}}}}$

ㅤㅤ$\underline{\boxed{\bf{\implies Distance=Speed \times Time }}}$

Hєиcє —

ㅤㅤ$\large\sf{\longrightarrow Distance = 45\times \dfrac{10}{3}}$

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ㅤㅤ$\large\sf{\longrightarrow Distance=\cancel{\dfrac{450}{3}}}$

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ㅤㅤ$\large\sf{\longrightarrow Distance= 150\:km}$

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❍ Distance is the same both times with different speed

• Now Speed = 36 km/hr

Tнєrєfσrє —

ㅤㅤ$\underline{\boxed{\bf{ Time =\dfrac{Distance}{Speed}}}}$

ㅤㅤ$\large\sf{\longrightarrow Time =\cancel{ \dfrac{150}{36}}}$

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ㅤㅤ$\large\sf{\longrightarrow Time = 4hrs \: and \:10\: minutes}$

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Hєиcє —

➨ Time taken to cover the same distance at a speed of 36 km/h is 4 hrs and 10 minutes