A train crosses a signal pole in 9sec and it takes 13.5sec to cross a bridge of 99m long. Find the length of the train?Question 5Answera.168mb.400mc.198md.150m

To solve this problem, we first need to understand that when a train crosses a signal pole or any other point object, the distance covered by the train is equal to the length of the train itself.

Step 1: We know that Speed = Distance/Time. So, when the train crosses the signal pole in 9 seconds, the speed of the train is Length of the train/9.

Step 2: When the train crosses a bridge of 99m in 13.5 seconds, the distance covered by the train is the length of the train + length of the bridge. So, the speed of the train is also (Length of the train + 99)/13.5.

Step 3: Since the speed of the train remains the same in both cases, we can set the two equations equal to each other and solve for the length of the train.

Length of the train/9 = (Length of the train + 99)/13.5

Step 4: Cross multiply to solve for the length of the train.

13.5 * Length of the train = 9 * (Length of the train + 99)

Step 5: Expand and rearrange the equation to solve for the length of the train.

13.5 * Length of the train = 9 * Length of the train + 891

Step 6: Subtract 9 * Length of the train from both sides.

4.5 * Length of the train = 891

Step 7: Divide both sides by 4.5 to solve for the length of the train.

Length of the train = 891 / 4.5 = 198m

So, the length of the train is 198m. The correct answer is c. 198m.