A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.
time (hours) distance (miles)
0.5 12.5
1 25
1.5 37.5
Assuming that the ship travels at a constant speed, what is its speed?
Answers
Answer:
speed (s) = distance (d) divided by time (t)
You can see that every 30 minutes or 0.5 hours, the ship's distance increases by 12.5 miles. The problem even say the ship's speed is constant...so it doesn't matter which numbers you use for your calculation just used the time with the corresponding distance.
s = d / t
Use the 1st set of number t = 0.5 and d = 12.5
s = 12.5(miles) / 05(hours)
s = 25 miles per hour (miles/hour OR mph)
Check using the last set of numbers t = 1.5 and d = 37.5
s = 37.5 / 1.5
s = 25 miles per hour (mph)
Hope this helps :)
Given: A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.
time (hours) distance (miles)
0.5 12.5
1 25
1.5 37.5
To find: The speed of the ship
Solution: In first 0.5 hours,
Distance covered= 12.5 miles
Between 0.5 hours and 1 hour,
Time elapsed
= 1 hour- 30 minutes
= 60-30 minutes ( 1 hour= 60 minutes)
= 30 minutes
= 0.5 hours
Distance covered= 25-12.5 = 12.5 miles
Between 1 hour and 1.5 hours,
Time elapsed
= 1.5 hours - 1 hours
= 0.5 hours
Distance covered= 37.5- 25 miles= 12.5 miles
Clearly, in every 0.5 hours, Distance covered is 12.5 miles.
Speed is given by the formula
= Total distance covered / Time taken
= 12.5 miles / 0.5 hours
= 25 miles / hour
Therefore, the speed of the ship is 25 miles/hour.