Data Interpretation Practice Test 1

Line Graph (Type B)
Directions (27-31): Study the given graph and answer the questions that follows.

Question : 27 of 90

Marks: +1, -0

After how many hours the train in the above graph will travel a distance of 100 km?

Solution:

Solutions (27–31):
In all speed v/s time graphs, calculate the average speed of moving object (here, the train).

\table \Hours, \Average \speed, \Distance \covered \during \one \hour, \Total \distance \covered (\in \kms); 0 - 1 , {20 +0}/2 = 10 \km\/\hr, 10, 10; 1 - 2, 20 \km\/\hr, 20, 30; 2 - 3 , { 40 +20}/2 =30 \km\/\hr, 30, 60; 3 - 4 , {60+ 40}/ 2=50\km\/\hr, 50 ,110; 4 - 5, = 60 \km\/\hr, 60, 170 ;5 - 6, = 60 \km\/\hr, 60 ,230; 6 - 7, {70 +60}/2= 65 \km\/\hr, 65 ,295 ;7 - 8, {70- 50} /260 \km\/\hr, 60, 355; 8 - 9, {40 +50}/2= 45 \km\/\hr, 45 ,400 ;9 - 10 ,{20 +40}/2= 30\km\/\hr, 30 ,430 = \Total

Average speed

= \text"Total distance covered"/\text"Total time taken"

=430/10=43\km\/\hr

Now, with the average speed of 43 km/hr, the train should take between 3 to 4 hours to complete a journey of 100 km. Therefore, (C) is the answer.

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