A thief is noticed by a policeman from a distance of 750m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 13 km per hour and 10 km per hour respectively. What is the distance between them after 10 minutes?a.410 meterb.300 meterc.400 meterd.250 meter
Question
A thief is noticed by a policeman from a distance of 750m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 13 km per hour and 10 km per hour respectively. What is the distance between them after 10 minutes?a.410 meterb.300 meterc.400 meterd.250 meter
Solution
To solve this problem, we first need to convert the speeds from km/h to m/min, since the time is given in minutes and the distance in meters.
1 km = 1000 m 1 hour = 60 minutes
So,
The thief's speed = 13 km/hour = 13 * 1000 m/60 min = 216.67 m/min The policeman's speed = 10 km/hour = 10 * 1000 m/60 min = 166.67 m/min
In 10 minutes,
The thief will cover = 216.67 m/min * 10 min = 2166.7 m The policeman will cover = 166.67 m/min * 10 min = 1666.7 m
The initial distance between the thief and the policeman is 750 m.
After 10 minutes, the distance between them will be = Initial distance + Distance covered by the thief - Distance covered by the policeman
= 750 m + 2166.7 m - 1666.7 m = 1250 m
So, the distance between them after 10 minutes is not listed in the options (a.410 meter, b.300 meter, c.400 meter, d.250 meter). There seems to be a mistake in the problem or the options.
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