Advertisements
Advertisements
प्रश्न
Choose the most appropriate option.
A train ‘X’ leaves station ‘A’ at 3 p.m and reaches station ‘B’ at 4.30 p. m., while another train ‘Y’ leaves station ‘B’ at 3.00 p.m and reaches station ‘A’ at 4.00 p.m. These two trains cross each other at:
पर्याय
3.36 p.m.
3.30 p.m.
3.20 p.m.
3.40 p.m.
उत्तर
3.36 p.m.
Explanation:
Let the distance between station A and station B = d km
Train x covers distance d km in`1 1/2=3/2` hr
∴ Speed of train x`="d"/((3/2))=(2"d")/3` Km/hr
Train y covers distance d km in 1 hr
∴ Speed of the train y`="d"/1` =d km /hr
Let the trains meet x hours after 3 pm
Distance travelled by train x in x hours
`= "x"xx(2"d")/3`km
Distance travelled by train y in x hours
= x × d km
Sum of these distance must be the total distance between station A and B
`"x"xx(2"d")/2+"x"xx"d"="d"`
`"x"+(2"x")/3=1`
`(5"x")/3=1`
`3/5`hr = 36 minutes
So, train eill cross each other at 3.36 p.m.
APPEARS IN
संबंधित प्रश्न
A train 300 meters long is running at a speed of 25 meters per second, it will cross a bridge 200 meters long in
A man can row 5 km/h in still water. If the speed of the current is 1 km/h, it takes 3 h more upstream than in the downstream for the same distance. The distance is
In a race of 200 m run, A beats S by 20 m and N by 40 m. If S and N are running a race of 100 m with exactly same speed as before, then by how many metres will S beat N?
A train running at the rate of 40 km/h passes a man riding parallel to the railway line in the same direction at 25 km/h in 48 seconds. Find the length of the train in metres.
Neeraj is going to Agra on his bike from Delhi. He overtakes a bus traveling from Delhi to Agra at 4.30 pm. Neeraj reaches Agra at 6 pm. After stopping there for an hour, he starts back towards Delhi and meets the same bus at 7.30 pm which was moving towards Agra at that time. If both the bus and the bike were traveling with uniform speeds on the same route, at what time would the bus reach Agra?
Two trains running in opposite directions cross a man standing on the platform in 27 sec and 17 sec, respectively and they cross each other in 23 sec. The ratio of their speeds is
A boat takes 90 min less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 m/h, the speed of the stream is
A man rows to a place 48 km distance and come back in 14 h. He finds that he can row 4 km with the stream at the same time as 3 km against the stream. The rate of the stream is
The ratio of length of two trains is 5 : 3 and the ratio of their speed is 6 : 5. The ratio of time taken by them to cross a pole is
A truck covers 448 km in 8 hours. The average speed of a bicycle is `1/4` th of the average speed of the truck. How much distance will the bicycle cover in 7 hours?
