Jashore had the previous highest temperature of the season at 42.6C
The accident occurred near the Darus Salam Mosque on Friday morning, said EPZ police Assistant Sub-Inspector Khurshid Alam.
He identified the deceased as rickshaw-puller Md Babul, 45, and Kohinur Begum, 45.
Babul had died on the spot, but Kohinur passed away after she was rushed to the Chittagong Medical College Hospital, Alam said.
Police detained the driver of the covered van and impounded his vehicle, he added.