A train can travel 60% faster than a car.
A train can travel 60% faster than a car. Both start from point A at the same time and reach point B, which is 60 km away, simultaneously. However, the train loses 20 minutes due to stops at stations. What is the speed of the car?
एक ट्रेन, एक कार से 60% अधिक की चाल से चल सकती है। दोनों एक ही समय पर बिंदु A से चलना शुरू करती हैं और 60 km दूर स्थित बिंदु B पर एक साथ पहुँचती हैं। हालाँकि, यात्रा के दौरान ट्रेन 20 मिनट के लिए स्टेशन पर रुकती है। कार की चाल ज्ञात कीजिए।
Detailed Solution & Logic
67.5 km/h
Step 1: Let the speed of the car be $x$ km/h.
Then the speed of the train = $1.6x$ km/h.
Step 2: Time taken to travel 60 km without stops:
-
Car: $60 / x$ hours
-
Train: $60 / 1.6x = 37.5 / x$ hours
Step 3: Train loses 20 minutes = 1/3 hour due to stops.
Time for train with stops = $37.5 / x + 1/3$ hours
Since both reach simultaneously:
$60 / x = 37.5 / x + 1/3$
Step 4: Solve for $x$:
$60 / x - 37.5 / x = 1/3$
$22.5 / x = 1/3$
$x = 22.5 \cdot 3 = 67.5$
So, the speed of the car is 67.5 km/h.
Similar Practice Questions
Rachin travels a distance at 60 km/hr for 2 hours
Rachin travels a distance at 60 km/hr for 2 hours and 80 km at 40...
A car covers four successive 8 km distances
A car covers four successive 8 km distances at speeds of 12 km/hr, 18 km/hr,...
A 725 m long train passes through a 235
A 725 m long train passes through a 235 m long tunnel in 48 sec....
A man driving a car at a speed of 99 km/hr crosses a bridge in 1.2 minutes. Find the length (in metres) of the bridge.
A man driving a car at a speed of 99 km/hr crosses a bridge in...
In a circular race of 1500 m, P and Q start
In a circular race of 1500 m, P and Q start from the same point...
Two trains having lengths of 170 m and 480
Two trains having lengths of 170 m and 480 m are running at speeds of...
52 A car travels 0.875 km in 1 minute. How far does it travel in 1 hour 45 minutes?
52 A car travels 0.875 km in 1 minute. How far does it travel in...