ram covers a distance of 100 km in variable speed during the first half of his journey his speed was 40 km /HR calculate the average speed of ram during the whole course of motion
Answers
Answer:
Answer:
Average speed of ram during the whole course of his motion is 26.66 Km/h.
Explanation:
Distance covered = 100 km
Time taken by ram to cover 60 km with speed 20 km/h ( \sf{t_1}t
1
) = \dfrac{50}{20}
20
50
h
\longrightarrow⟶ \sf{t_1}t
1
= \dfrac{5}{2}
2
5
h
Time taken by ram to cover next 50 km ( \sf{t_2}t
2
) = \dfrac{50}{40}
40
50
h
\longrightarrow⟶ \sf{t_2}t
2
= \dfrac{5}{4}
4
5
h
\therefore∴ Total time = \sf{t_{1} + t_{2}}t
1
+t
2
\longrightarrow⟶ Total time = \dfrac{5}{2}
2
5
+ \dfrac{5}{4}
4
5
Taking LCM,
\longrightarrow⟶ Total time = \dfrac{10+5}{4}
4
10+5
\longrightarrow⟶ Total time = \dfrac{15}{4}
4
15
Now, let's calculate average speed,
Average speed = \sf{\dfrac{Total\:distance\:travelled}{Total\:time\:taken}}
Totaltimetaken
Totaldistancetravelled
\longrightarrow⟶ Average speed = \dfrac{100}{15}
15
100
× 100
\longrightarrow⟶ Average speed = 26.66 km/h