2.) A high-speed train travels at a speed of 200 km/h.
"If the tre sets off from Station A at 12 24 and
reach at B at 14 12, find the distance
between the two stations, giving your answer in
metres.
Answers
Answer:
Step-by-step explanation:
Speed of train = 200km/hr
Time taken = 14 :12 - 12:24 =1 hour 48 minutes = 1 4/5 hour = 9/5 hours
Speed = distance/ time
Distance = speed * time
= 200* 9 /5
= 360 km = 360000 m
Hope its helpful!
Given:
✰ Speed of train ( S ) = 200 km/h
✰ Time taken from Station A ( T₁ ) = 12:24
✰ Taken taken to Station B ( T₂ ) = 14:12
To find:
✠ Distance ( D ) between the two stations.
Solution:
We will use formula to calculate distance between the two stations. First we will find the time taken by the train to travel that distance and we are already provided with the speed. So after, that putting the values in the formula and then doing the required calculations, we will find the distance between the two stations.
⟹ Time taken from Station A ( T₁ ) = 12:24
⟹ Taken taken to Station B ( T₂ ) = 14:12
⟹ Time taken by the train = T₂ - T₁
⟹ Time taken by the train = 12:24 - 14:12
⟹ Time taken by the train = 1:48
⟹ Time taken by the train = 1 h 48 min
⟹ Time taken by the train = 1 + 48/60 h [ 1 min = 1/60 h ]
⟹ Time taken by the train = 1 + 48/60 h
⟹ Time taken by the train = 1 + 0.8 h
⟹ Time taken by the train = 1.8 hours
✭ Speed = Distance/Time ✭
✭ Distance = Speed × Time ✭
Putting the values in the formula, we have:
➤ Distance travelled by the train = 200 × 1.8
➤ Distance travelled by the train = 360 km
But, we need to find the answer in metres!!
➛ 1 km = 1000 m
➛ 360 km = 360 × 1000
➛ 360,000 m
∴ Distance ( D ) between the two stations = 360,000 metres
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