A train travels a distance of 300 km at a constant speed. If the speed had been 10 km/hr faster, the train would have taken 1 hour less to cover the same distance. What is the original speed of the train?

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Satt Academy · Accepted Answer

Let the original speed of the train be s' km / hr and the original time taken be 't' hours. We know that distance = speed

× time. Therefore: 300 = s ×t ______ (i) If the speed had been 10 km/hr. faster, the new speed would be (s + 10) km / hr and the time taken would be (t - 1) hours. The distance remains the same: Therefore: 300 = (s + 10) ×(t - 1) ⇒ 300 = st - s + 10t - 10 ⇒300 = 300 - s + 10t - 10 ⇒ 300 - 300 = - s + 10t - 10 ⇒ s = 10t - 10 ∴t=s+1010Now substitute this value of 't' back into equation (i) 300 = s ×(s + 10)10 ⇒ 3000 = s(s + 10) [Multiply both sides by 10] ⇒ 3000 = s2 + 10s ⇒ s2 + 10s - 3000 = 0 ⇒ s2 + 60s - 10s - 3000 = 0 ∴ (s + 60)(s - 50) = 0 This gives us two possible solutions for 's': s = - 60 or s = 50 Since speed cannot be negative, the original speed of the train is 50 km/hr. Answer: The original speed of the train was 50 km/hr.

A train travels a distance of 300 km at a constant speed. If the speed had been 10 km/hr faster, the train would have taken 1 hour less to cover the same distance. What is the original speed of the train?

Question:
A train travels a distance of 300 km at a constant speed. If the speed had been 10 km/hr faster, the train would have taken 1 hour less to cover the same distance. What is the original speed of the train?

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A train travels a distance of 300 km at a constant speed. If the speed had been 10 km/hr faster, the train would have taken 1 hour less to cover the same distance. What is the original speed of the train?

Question: A train travels a distance of 300 km at a constant speed. If the speed had been 10 km/hr faster, the train would have taken 1 hour less to cover the same distance. What is the original speed of the train?

গণিত

Related Question

1 . দুইটি সংখ্যার গ. সা. গু ২১ এবং ল. সা. গু ৪৬৪১। একটি সংখ্যা ২০০ ও ৩০০ এর মধ্যবর্তী; | অপরটি কত?

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Satt AI

Hi, আমি SATT AI!

Question:
A train travels a distance of 300 km at a constant speed. If the speed had been 10 km/hr faster, the train would have taken 1 hour less to cover the same distance. What is the original speed of the train?