1
1
Train A of length 100 m crosses a pole in 4 seconds. Train B approaching towards train A with a speed of 15 m/sec crosses it in 9.1 seconds. Find the length of train B
Train A of length 100 m crosses a pole in 4 seconds. Train B approaching towards train A with a speed of 15 m/sec crosses it in 9.1 seconds. Find the length of train B
1). 264 m
2). 200 m
3). 250 m
4). 260 m
1). 264 m
2). 200 m
3). 250 m
4). 260 m
This Question has 1 answers.
Train A of length $100$ m crosses a pole in $4$ seconds.
Speed of Train A:
$ \frac{100}{4} = 25 $ m/sec
Train B is approaching towards Train A with a speed of $15$ m/sec and crosses it in $9.1$ seconds.
Let the length of Train B be $x$ meters.
Since Train B crosses Train A, the relative speed of Train B with respect to Train A is:
$ 25 + 15 = 40 $ m/sec
Using the formula:
$ \text{Time} = \frac{\text{Total Distance}}{\text{Speed}} $
$ 9.1 = \frac{x + 100}{40} $
Multiplying both sides by $40$:
$ x + 100 = 9.1 \times 40 $
$ x + 100 = 364 $
$ x = 364 - 100 $
$ x = 264 $
Thus, the correct answer is:
$ \boxed{264} $
Speed of Train A:
$ \frac{100}{4} = 25 $ m/sec
Train B is approaching towards Train A with a speed of $15$ m/sec and crosses it in $9.1$ seconds.
Let the length of Train B be $x$ meters.
Since Train B crosses Train A, the relative speed of Train B with respect to Train A is:
$ 25 + 15 = 40 $ m/sec
Using the formula:
$ \text{Time} = \frac{\text{Total Distance}}{\text{Speed}} $
$ 9.1 = \frac{x + 100}{40} $
Multiplying both sides by $40$:
$ x + 100 = 9.1 \times 40 $
$ x + 100 = 364 $
$ x = 364 - 100 $
$ x = 264 $
Thus, the correct answer is:
$ \boxed{264} $
Similar Questions
- Point A is 30 metres to the east of point B. Point C is 10 metres to the south of Point A. Point D is 15 metres to the west of Point C. Point E is exactly in the middle of the Points D and F. Points D, E and F lie in a straight line. The length of the lin
- Nidhi received simple interest off Rs. 1200 when invested Rs x at 6% p.a. and Rs y at 5% p.a. for 1 year. Had she invested Rs. x at 3% p.a. and Rs. y at 8% for that year, she would have received simple interest of Rs 1,260. Find the values Rs. x an y.
- A shopkeeper buys a blanket at a discount of 20% on the listed price from a wholesaler. The shopkeeper marks up the price by 15% on the listed price. A buyer pays Rs. 3795 to get it after paying sales tax rate of 10% on the price asked for. Find the profi
- Two towns P & Q are 275 km apart. A motorcycle rider starts from P towards Q at 8 a.m. at the speed of 25 km/hr. Another rider starts from Q towards P at 9 a.m. at the speed of 20 km/hr. Find at what time they will cross each other?
- Train A takes 45 minutes more than train B to travel a distance of 450 km. Due to engine trouble speed of train B falls by a quarter, so it takes 30 minutes more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?