Question

A bus covers 36 km in 40 minutes. If the speed remains uniform, then how :
a. long will it take to cover 180 km?
b. far will it travel in 3 hours?

please explain properly ​

Answer 1

❐ EXPLANATION:

.

The distance covered by a bus (s) = 36km

The time taken to cover this distance (t) = 40 mins

Converting time in hours,

t = 40min [1h = 60min ➤ 1min = 1/60 h]

• ➤ t = 40 × 1/60 h
• ➤ t = 2/3 h

Finding Speed,

• ➤ Speed = s / t
• ➤ Speed = 36km / (2/3 h)
• ➤ Speed = 36km × 3/2 h
• ➤ Speed = 54km/h

a. Long will it take to cover 180 km ?

• Speed = 54km/h
• Distance = 180km

As We Know That,

• Time = Distance / Speed
• ➤ Time = 180km / (54km/h)
• ➤ Time = 180km × 1h/54km
• ➤ Time = 3 1/3 h

As We Know That,

• 1 h = 60 min
• ➤ 1/3 h = 1/3 × 60 min
• ➤ 1/3 h = 20 mins

Therefore,

• The Time taken is 3 hours and 20 minutes.

b. Far will it travel in 3 hours ?

• Speed = 54km/h
• Time = 3 hours

As We Know That,

• Distance = Speed × Time
• ➤ Distance = 54km / h × 3h
• ➤ Distance = 162km

Therefore,

• The distance travelled in 3 hours is 162km.